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3 years ago

To the nearest tent what is the area of circle whose diameter is 21 inches

Mathematics

1 answer:

xxMikexx [17]3 years ago

8 0

Answer:

It depends

Step-by-step explanation:

Area of a circle is given by

A = pi *r^2

We can find the radius by taking 1/2 of the diameter

r= 1/2(21)

r = 10.5

A = pi * (10.5)^2

A = 110.25 pi

Approximating pi with 3.14

A = 110.25 * 3.14

A =346.185 in^2

To the nearest tenth

A = 346.2 in^2

If we use the pi button on the calculator

A = 346.3605901

Rounding to the nearest tenth

A = 346.4 in^2

You need to determine whether you approximate pi by 3.14 or use the pi button on your calculator

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Solve logarithmic equation

Maksim231197 [3]

Answer:

x=6

Step-by-step explanation:

ln 1=0

x-5=1

x=6

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3 years ago

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Pls help BRAINLYEST FOR BEST ANSWER YAYA

son4ous [18]

Answer:

A) 21

Step-by-step explanation:

Mean:

(23 + 18 + 24 + 15 + 25)/5

105/5

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3 years ago

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What is the value of d to the nearest tenth?

Ghella [55]

Answer: $d=13.8$

Step-by-step explanation:

A line that cuts a circle at two points is called "secant".

There is a theorem known as "Intersecting Secant Theorem". This is the theorem you need to use to find the value of "d".

According the Intersecting Secant Theorem:

$(14)(14+20)=(16)(16+d)\\(14)(34)=(16)(16+d)$

Having this expression, the next step is to solve for "d":

Use Distributive property:

$476=256+16d$

Subtract 256 from both sides:

$476-256=-256+256+16d$

$220=16d$

Divide both sides by 16:

$\frac{220}{16}=\frac{16d}{16}\\\\13.75=d$

The value of "d" rounded to the nearest tenth is:

$d=13.8$

6 0

3 years ago

Look at the picture.....

tresset_1 [31]

Answer:

Step-by-step explanation:

y = a|x-h| + k

(h,k) is the vertex

There's no standard formula for absolute values. I just made it up as an example, pretty much.

Since a is negative, the function opens downward.

h = -2, k = 0, so the vertex is at (-2,0)

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3 years ago

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A strobe light is located at the center of a square dance room. the rotating light is 40 feet from each of the square walls and

Effectus [21]

The equation of the rotating light is an illustration of a secant function

The equation that represents the distance between the center of the circle and the light source is $d(t) = 40\sec(\frac{\pi}{3}t)$

<h3>How to determine the equation</h3>

The equation is a secant function represented by

$y =A\sec(Bt)$

Where:

A represents the amplitude

So, we have:

$A = 40$ --- the distance of the light from each square wall

B represents the period, and it is calculated as:

$B = \frac{2\pi}{T}$

The light completes its full rotation every 6 seconds.

This means that,

T = 6

So, we have:

$B = \frac{2\pi}{6}$

Simplify

$B = \frac{\pi}{3}$

Substitute values for A and B in $y =A\sec(Bt)$

$y = 40\sec(\frac{\pi}{3}t)$

Rewrite as a function

$d(t) = 40\sec(\frac{\pi}{3}t)$

Hence, the equation that represents the distance between the center of the circle and the light source is $d(t) = 40\sec(\frac{\pi}{3}t)$

Read more about trigonometry functions at:

brainly.com/question/1143565

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2 years ago